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<div class="title">Scaling.h</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">// This file is part of Eigen, a lightweight C++ template library</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">// for linear algebra.</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment">// Copyright (C) 2012 Desire NUENTSA WAKAM &lt;desire.nuentsa_wakam@inria.fr</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">//</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">// This Source Code Form is subject to the terms of the Mozilla</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment">// Public License v. 2.0. If a copy of the MPL was not distributed</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160; </div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor">#ifndef EIGEN_ITERSCALING_H</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor">#define EIGEN_ITERSCALING_H</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160; </div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="preprocessor">#include &quot;./InternalHeaderCheck.h&quot;</span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160; </div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespaceEigen.html">Eigen</a> {</div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160; </div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatrixType_&gt;</div>
<div class="line"><a name="l00050"></a><span class="lineno"><a class="line" href="classEigen_1_1IterScaling.html">   50</a></span>&#160;<span class="keyword">class </span><a class="code" href="classEigen_1_1IterScaling.html">IterScaling</a></div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;{</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    <span class="keyword">typedef</span> MatrixType_ MatrixType;</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Scalar Scalar;</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;    <span class="keyword">typedef</span> <span class="keyword">typename</span> MatrixType::Index Index;</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;    </div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;  <span class="keyword">public</span>:</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;    <a class="code" href="classEigen_1_1IterScaling.html">IterScaling</a>() { init(); }</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;    </div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;    <a class="code" href="classEigen_1_1IterScaling.html">IterScaling</a>(<span class="keyword">const</span> MatrixType&amp; matrix)</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;    {</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;      init();</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;      <a class="code" href="classEigen_1_1IterScaling.html#a20438dc249686aa7002e6b2ff1d69ac1">compute</a>(matrix);</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;    }</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;    </div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;    ~<a class="code" href="classEigen_1_1IterScaling.html">IterScaling</a>() { }</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;    </div>
<div class="line"><a name="l00075"></a><span class="lineno"><a class="line" href="classEigen_1_1IterScaling.html#a20438dc249686aa7002e6b2ff1d69ac1">   75</a></span>&#160;    <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1IterScaling.html#a20438dc249686aa7002e6b2ff1d69ac1">compute</a> (<span class="keyword">const</span> MatrixType&amp; mat)</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;    {</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;      <span class="keyword">using</span> std::abs;</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;      <span class="keywordtype">int</span> m = mat.rows(); </div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      <span class="keywordtype">int</span> n = mat.cols();</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;      eigen_assert((m&gt;0 &amp;&amp; m == n) &amp;&amp; <span class="stringliteral">&quot;Please give a non - empty matrix&quot;</span>);</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;      m_left.<a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#a9fd0703bd7bfe89d6dc80e2ce87c312a">resize</a>(m); </div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      m_right.<a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#a9fd0703bd7bfe89d6dc80e2ce87c312a">resize</a>(n);</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      m_left.<a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#a8700dc6d8e05436c0b34ae15ca9274a5">setOnes</a>();</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      m_right.<a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#a8700dc6d8e05436c0b34ae15ca9274a5">setOnes</a>();</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;      m_matrix = mat;</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;      <a class="codeRef" href="../classEigen_1_1Matrix.html">VectorXd</a> Dr, Dc, DrRes, DcRes; <span class="comment">// Temporary Left and right scaling vectors</span></div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;      Dr.<a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#a9fd0703bd7bfe89d6dc80e2ce87c312a">resize</a>(m); Dc.<a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#a9fd0703bd7bfe89d6dc80e2ce87c312a">resize</a>(n);</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;      DrRes.<a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#a9fd0703bd7bfe89d6dc80e2ce87c312a">resize</a>(m); DcRes.<a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#a9fd0703bd7bfe89d6dc80e2ce87c312a">resize</a>(n);</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <span class="keywordtype">double</span> EpsRow = 1.0, EpsCol = 1.0;</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <span class="keywordtype">int</span> its = 0; </div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      <span class="keywordflow">do</span></div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      { <span class="comment">// Iterate until the infinite norm of each row and column is approximately 1</span></div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;        <span class="comment">// Get the maximum value in each row and column</span></div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        Dr.<a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#acc39eaf7ba22b725c86f1b9b8bb57c3c">setZero</a>(); Dc.<a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#acc39eaf7ba22b725c86f1b9b8bb57c3c">setZero</a>();</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k=0; k&lt;m_matrix.outerSize(); ++k)</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        {</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;          <span class="keywordflow">for</span> (<span class="keyword">typename</span> MatrixType::InnerIterator it(m_matrix, k); it; ++it)</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;          {</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;            <span class="keywordflow">if</span> ( Dr(it.row()) &lt; <a class="codeRef" href="../namespaceEigen.html#ae27242789e7e62a8c42579b79be59b1a">abs</a>(it.value()) )</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;              Dr(it.row()) = <a class="codeRef" href="../namespaceEigen.html#ae27242789e7e62a8c42579b79be59b1a">abs</a>(it.value());</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;            </div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;            <span class="keywordflow">if</span> ( Dc(it.col()) &lt; <a class="codeRef" href="../namespaceEigen.html#ae27242789e7e62a8c42579b79be59b1a">abs</a>(it.value()) )</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;              Dc(it.col()) = <a class="codeRef" href="../namespaceEigen.html#ae27242789e7e62a8c42579b79be59b1a">abs</a>(it.value());</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;          }</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;        }</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; m; ++i) </div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;        {</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;          Dr(i) = std::sqrt(Dr(i));</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        }</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; ++i) </div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;        {</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;          Dc(i) = std::sqrt(Dc(i));</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;        }</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;        <span class="comment">// Save the scaling factors </span></div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; m; ++i) </div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        {</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;          m_left(i) /= Dr(i);</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;        }</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; ++i) </div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;        {</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;          m_right(i) /= Dc(i);</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;        }</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        <span class="comment">// Scale the rows and the columns of the matrix</span></div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        DrRes.<a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#acc39eaf7ba22b725c86f1b9b8bb57c3c">setZero</a>(); DcRes.<a class="codeRef" href="../classEigen_1_1PlainObjectBase.html#acc39eaf7ba22b725c86f1b9b8bb57c3c">setZero</a>(); </div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;        <span class="keywordflow">for</span> (<span class="keywordtype">int</span> k=0; k&lt;m_matrix.outerSize(); ++k)</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;        {</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;          <span class="keywordflow">for</span> (<span class="keyword">typename</span> MatrixType::InnerIterator it(m_matrix, k); it; ++it)</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;          {</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;            it.valueRef() = it.value()/( Dr(it.row()) * Dc(it.col()) );</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;            <span class="comment">// Accumulate the norms of the row and column vectors   </span></div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;            <span class="keywordflow">if</span> ( DrRes(it.row()) &lt; <a class="codeRef" href="../namespaceEigen.html#ae27242789e7e62a8c42579b79be59b1a">abs</a>(it.value()) )</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;              DrRes(it.row()) = <a class="codeRef" href="../namespaceEigen.html#ae27242789e7e62a8c42579b79be59b1a">abs</a>(it.value());</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;            </div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;            <span class="keywordflow">if</span> ( DcRes(it.col()) &lt; <a class="codeRef" href="../namespaceEigen.html#ae27242789e7e62a8c42579b79be59b1a">abs</a>(it.value()) )</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;              DcRes(it.col()) = <a class="codeRef" href="../namespaceEigen.html#ae27242789e7e62a8c42579b79be59b1a">abs</a>(it.value());</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;          }</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;        }  </div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;        DrRes.array() = (1-DrRes.array()).<a class="codeRef" href="../namespaceEigen.html#ae27242789e7e62a8c42579b79be59b1a">abs</a>();</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;        EpsRow = DrRes.maxCoeff();</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;        DcRes.array() = (1-DcRes.array()).<a class="codeRef" href="../namespaceEigen.html#ae27242789e7e62a8c42579b79be59b1a">abs</a>();</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;        EpsCol = DcRes.maxCoeff();</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;        its++;</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;      }<span class="keywordflow">while</span> ( (EpsRow &gt;m_tol || EpsCol &gt; m_tol) &amp;&amp; (its &lt; m_maxits) );</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;      m_isInitialized = <span class="keyword">true</span>;</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;    }</div>
<div class="line"><a name="l00151"></a><span class="lineno"><a class="line" href="classEigen_1_1IterScaling.html#a4622fbf83a895d87bb93538279325715">  151</a></span>&#160;    <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1IterScaling.html#a4622fbf83a895d87bb93538279325715">computeRef</a> (MatrixType&amp; mat)</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;    {</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;      <a class="code" href="classEigen_1_1IterScaling.html#a20438dc249686aa7002e6b2ff1d69ac1">compute</a> (mat);</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;      mat = m_matrix;</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;    }</div>
<div class="line"><a name="l00158"></a><span class="lineno"><a class="line" href="classEigen_1_1IterScaling.html#a8d6f9626d1da7b4bf43bf883f890f40b">  158</a></span>&#160;    <a class="codeRef" href="../classEigen_1_1Matrix.html">VectorXd</a>&amp; <a class="code" href="classEigen_1_1IterScaling.html#a8d6f9626d1da7b4bf43bf883f890f40b">LeftScaling</a>()</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;    {</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;      <span class="keywordflow">return</span> m_left;</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;    }</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;    </div>
<div class="line"><a name="l00165"></a><span class="lineno"><a class="line" href="classEigen_1_1IterScaling.html#a985b00f6db8c11e0222061bf6674013f">  165</a></span>&#160;    <a class="codeRef" href="../classEigen_1_1Matrix.html">VectorXd</a>&amp; <a class="code" href="classEigen_1_1IterScaling.html#a985b00f6db8c11e0222061bf6674013f">RightScaling</a>()</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;    {</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;      <span class="keywordflow">return</span> m_right;</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;    }</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;    </div>
<div class="line"><a name="l00172"></a><span class="lineno"><a class="line" href="classEigen_1_1IterScaling.html#a16486601c80084f64814d8fc6046de99">  172</a></span>&#160;    <span class="keywordtype">void</span> <a class="code" href="classEigen_1_1IterScaling.html#a16486601c80084f64814d8fc6046de99">setTolerance</a>(<span class="keywordtype">double</span> tol)</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;    {</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;      m_tol = tol; </div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;    }</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;      </div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;  <span class="keyword">protected</span>:</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;    </div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;    <span class="keywordtype">void</span> init()</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;    {</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;      m_tol = 1e-10;</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;      m_maxits = 5;</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;      m_isInitialized = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;    }</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160;    </div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;    MatrixType m_matrix;</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;    <span class="keyword">mutable</span> <a class="codeRef" href="../group__enums.html#ga85fad7b87587764e5cf6b513a9e0ee5e">ComputationInfo</a> m_info; </div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;    <span class="keywordtype">bool</span> m_isInitialized; </div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;    <a class="codeRef" href="../group__matrixtypedefs.html#ga8554c6170729f01c7572574837ecf618">VectorXd</a> m_left; <span class="comment">// Left scaling vector</span></div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;    <a class="codeRef" href="../group__matrixtypedefs.html#ga8554c6170729f01c7572574837ecf618">VectorXd</a> m_right; <span class="comment">// m_right scaling vector</span></div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;    <span class="keywordtype">double</span> m_tol; </div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;    <span class="keywordtype">int</span> m_maxits; <span class="comment">// Maximum number of iterations allowed</span></div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;};</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;}</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="ttc" id="aclassEigen_1_1IterScaling_html"><div class="ttname"><a href="classEigen_1_1IterScaling.html">Eigen::IterScaling</a></div><div class="ttdoc">iterative scaling algorithm to equilibrate rows and column norms in matrices</div><div class="ttdef"><b>Definition:</b> Scaling.h:51</div></div>
<div class="ttc" id="aclassEigen_1_1IterScaling_html_a16486601c80084f64814d8fc6046de99"><div class="ttname"><a href="classEigen_1_1IterScaling.html#a16486601c80084f64814d8fc6046de99">Eigen::IterScaling::setTolerance</a></div><div class="ttdeci">void setTolerance(double tol)</div><div class="ttdef"><b>Definition:</b> Scaling.h:172</div></div>
<div class="ttc" id="aclassEigen_1_1IterScaling_html_a20438dc249686aa7002e6b2ff1d69ac1"><div class="ttname"><a href="classEigen_1_1IterScaling.html#a20438dc249686aa7002e6b2ff1d69ac1">Eigen::IterScaling::compute</a></div><div class="ttdeci">void compute(const MatrixType &amp;mat)</div><div class="ttdef"><b>Definition:</b> Scaling.h:75</div></div>
<div class="ttc" id="aclassEigen_1_1IterScaling_html_a4622fbf83a895d87bb93538279325715"><div class="ttname"><a href="classEigen_1_1IterScaling.html#a4622fbf83a895d87bb93538279325715">Eigen::IterScaling::computeRef</a></div><div class="ttdeci">void computeRef(MatrixType &amp;mat)</div><div class="ttdef"><b>Definition:</b> Scaling.h:151</div></div>
<div class="ttc" id="aclassEigen_1_1IterScaling_html_a8d6f9626d1da7b4bf43bf883f890f40b"><div class="ttname"><a href="classEigen_1_1IterScaling.html#a8d6f9626d1da7b4bf43bf883f890f40b">Eigen::IterScaling::LeftScaling</a></div><div class="ttdeci">VectorXd &amp; LeftScaling()</div><div class="ttdef"><b>Definition:</b> Scaling.h:158</div></div>
<div class="ttc" id="aclassEigen_1_1IterScaling_html_a985b00f6db8c11e0222061bf6674013f"><div class="ttname"><a href="classEigen_1_1IterScaling.html#a985b00f6db8c11e0222061bf6674013f">Eigen::IterScaling::RightScaling</a></div><div class="ttdeci">VectorXd &amp; RightScaling()</div><div class="ttdef"><b>Definition:</b> Scaling.h:165</div></div>
<div class="ttc" id="aclassEigen_1_1Matrix_html"><div class="ttname"><a href="../classEigen_1_1Matrix.html">Eigen::Matrix&lt; double, Dynamic, 1 &gt;</a></div></div>
<div class="ttc" id="aclassEigen_1_1PlainObjectBase_html_a8700dc6d8e05436c0b34ae15ca9274a5"><div class="ttname"><a href="../classEigen_1_1PlainObjectBase.html#a8700dc6d8e05436c0b34ae15ca9274a5">Eigen::PlainObjectBase::setOnes</a></div><div class="ttdeci">Derived &amp; setOnes(Index size)</div></div>
<div class="ttc" id="aclassEigen_1_1PlainObjectBase_html_a9fd0703bd7bfe89d6dc80e2ce87c312a"><div class="ttname"><a href="../classEigen_1_1PlainObjectBase.html#a9fd0703bd7bfe89d6dc80e2ce87c312a">Eigen::PlainObjectBase::resize</a></div><div class="ttdeci">void resize(Index rows, Index cols)</div></div>
<div class="ttc" id="aclassEigen_1_1PlainObjectBase_html_acc39eaf7ba22b725c86f1b9b8bb57c3c"><div class="ttname"><a href="../classEigen_1_1PlainObjectBase.html#acc39eaf7ba22b725c86f1b9b8bb57c3c">Eigen::PlainObjectBase::setZero</a></div><div class="ttdeci">Derived &amp; setZero(Index size)</div></div>
<div class="ttc" id="agroup__enums_html_ga85fad7b87587764e5cf6b513a9e0ee5e"><div class="ttname"><a href="../group__enums.html#ga85fad7b87587764e5cf6b513a9e0ee5e">ComputationInfo</a></div><div class="ttdeci">ComputationInfo</div></div>
<div class="ttc" id="agroup__matrixtypedefs_html_ga8554c6170729f01c7572574837ecf618"><div class="ttname"><a href="../group__matrixtypedefs.html#ga8554c6170729f01c7572574837ecf618">VectorXd</a></div><div class="ttdeci">Matrix&lt; double, Dynamic, 1 &gt; VectorXd</div></div>
<div class="ttc" id="anamespaceEigen_html"><div class="ttname"><a href="namespaceEigen.html">Eigen</a></div><div class="ttdoc">Namespace containing all symbols from the Eigen library.</div></div>
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